MOMENTS AND CENTROIDS 63 
- moment and shearing force diagrams, and state the values of the ent 
moment and shearing force at a section 5 feet from one end. Linear scale, 
inch to 1 foot. Force scale, } inch to 1 ton, 
18. A horizontal lever 10 feet long is ag a at one end and supported by a 
vertical chain at a point 7 feet from the hinge. The lever carries a load of 
1120 lbs. at a point 4 feet from the hinge and a load of 1400 Ibs. at the free 
end. Determine, graphically, the tension in the chain, and construct the bending 
moment and shearing force diagrams, 
19. A beam AB, 30 feet long, rests on two intermediate supports at points 
C and D, which are 9 feet and 19 feet respectively from the end A. The beam 
carries a load of 20 tons uniformly distributed over its length, besides concen- 
trated loads of 2, 5, and 3 tons at points 1, 12, and 28 feet respectively from 
the end A. Determine, graphically, the reactions of the supports at C and D, 
and construct the bending moment and shearing force diagrams. State the 
values of the bending moment and shearing force at the centre of the beam, 
i. oe are 
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